1
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If b and c are the position vectors of the points B and C respectively, then the position vector of the point D such that BD = 4 BC is
A
4 (c $$-$$ b)
B
$$-$$ 4 (c $$-$$ b)
C
4 c $$-$$ 3 b
D
4 c + 3 b
2
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If the position vector a of the point (5, n) is such that | a | = 13, then the value(s) of n can be
A
$$\pm$$ 8
B
$$\pm$$ 12
C
Only 8
D
Only 12
3
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If | a | = 2 and | b | = 3, then, | a $$\times$$ b |2 + | a . b |2 is equal to
A
72
B
64
C
48
D
36
4
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following inequalities in respect of vectors a and b

1. | a + b | $$\le$$ | a | + | b |

2. | a $$-$$ b | $$\ge$$ | a | $$-$$ | b |

Which of the above is/are correct?
A
Only 1
B
Only 2
C
Both 1 and 2
D
Neither 1 nor 2
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